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Finding the Fourth Proportional to 30,005.63, 45,008.41 and 9,229.13

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Solution

The fourth proportional to 30,005.63, 45,008.41 and 9,229.13 is: 13,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.63 : 45,008.41 = 9,229.13 : x
  2. Step 2: Convert to fraction form
    30,005.63/45,008.41 = 9,229.13/x
  3. Step 3: Cross multiply
    30,005.63x = 45,008.41 × 9,229.13
  4. Step 4: Simplify right side
    30,005.63x = 415,388,466.98
  5. Step 5: Solve for x
    x = 415,388,466.98/30,005.63
  6. Step 6: Final answer
    x = 13,843.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.